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48171312 = 2432726827
BaseRepresentation
bin1011011111000…
…0100100110000
310100122100121200
42313300210300
544312440222
64440251200
71123310100
oct267604460
9110570550
1048171312
1125211902
1214170b00
139c97c47
14657d200
154367eac
hex2df0930

48171312 has 90 divisors (see below), whose sum is σ = 156845988. Its totient is φ = 13761216.

The previous prime is 48171301. The next prime is 48171337. The reversal of 48171312 is 21317184.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3643 + ... + 10469.

Almost surely, 248171312 is an apocalyptic number.

48171312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48171312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78422994).

48171312 is an abundant number, since it is smaller than the sum of its proper divisors (108674676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48171312 is a wasteful number, since it uses less digits than its factorization.

48171312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6839 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 48171312 is about 6940.5555973567. Note that the first 4 decimals coincide. The cubic root of 48171312 is about 363.8559587870.

Adding to 48171312 its reverse (21317184), we get a palindrome (69488496).

The spelling of 48171312 in words is "forty-eight million, one hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 6827 7056 13654 20481 27308 40962 47789 54616 61443 81924 95578 109232 122886 143367 163848 191156 245772 286734 327696 334523 382312 430101 491544 573468 669046 764624 860202 983088 1003569 1146936 1338092 1720404 2007138 2293872 2676184 3010707 3440808 4014276 5352368 6021414 6881616 8028552 12042828 16057104 24085656 48171312